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zysi [14]
3 years ago
8

How is 81^1/4 is 3?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

\sqrt[4]{81}  =  {( {3}^{4}) }^{ \frac{1}{4} }

Step-by-step explanation:

it's obvious that 3·3·3·3=81

or you can do the prime factorization of 81

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A recipe calls for 2 cups of water for every 3 cups of flour. How much water is needed if you use 12 cups of flour?
Tju [1.3M]

Answer:

8 cups of water

Explanation:

2 cups of water = 3 cups of flour

x cups of water = 12 cups of flour

12/3=4

2x4=8

6 0
3 years ago
For number 6, evaluate the definite integral.
maks197457 [2]
\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{(8+2x)^2}}\cdot dx\impliedby \textit{now, let's do some substitution}\\\\
-------------------------------\\\\
u=8+2x\implies \cfrac{du}{dx}=2\implies \cfrac{du}{2}=dx\\\\
-------------------------------\\\\

\bf \displaystyle \int\limits_{0}^{28}\ \cfrac{1}{\sqrt[3]{u^2}}\cdot \cfrac{du}{2}\implies \cfrac{1}{2}\int\limits_{0}^{28}\ u^{-\frac{2}{3}}\cdot du\impliedby 
\begin{array}{llll}
\textit{now let's change the bounds}\\
\textit{by using } u(x)
\end{array}\\\\
-------------------------------\\\\
u(0)=8+2(0)\implies u(0)=8
\\\\\\
u(28)=8+2(28)\implies u(28)=64

\bf \\\\
-------------------------------\\\\
\displaystyle  \cfrac{1}{2}\int\limits_{8}^{64}\ u^{-\frac{2}{3}}\cdot du\implies \cfrac{1}{2}\cdot \cfrac{u^{\frac{1}{3}}}{\frac{1}{3}}\implies \left. \cfrac{3\sqrt[3]{u}}{2} \right]_8^{64}
\\\\\\
\left[ \cfrac{3\sqrt[3]{(2^2)^3}}{2} \right]-\left[ \cfrac{3\sqrt[3]{2^3}}{2}  \right]\implies \cfrac{12}{2}-\cfrac{6}{2}\implies 6-3\implies 3
3 0
3 years ago
The price of a gallon went from $0.64 to $0.68 per gallon. What was the percent of increase in the price of a gallon?
Paraphin [41]

Answer:

0.20%

Step-by-step explanation:

I think, I'm not sure on

7 0
3 years ago
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During it's first 50 days of growth a sunflower grows about 4 cm a day. Using this rate how many days will it take for the sunfl
Alex787 [66]
The answer is 15 days because
60 \div 4 = 15
4 0
3 years ago
The total cost of attending a basketball game includes the price of a ticket (parking included). An individual ticket costs $12.
IrinaK [193]

Answer:

12n+34

n represents each ticket and 34 is parking lot

5 0
3 years ago
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